The Stasheff model of a simply-connected manifold and the string bracket.

Lazarev, Andrey (2008) The Stasheff model of a simply-connected manifold and the string bracket. Proceedings of the American Mathematical Society, 136 (2). pp. 735-745. ISSN 1088-6826

Abstract

We revisit Stasheff's construction of a minimal Lie-Quillen model of a simply-connected closed manifold M using the language of infinity-algebras. This model is then used to construct a graded Lie bracket on the equivariant homology of the free loop space of M minus a point similar to the Chas-Sullivan string bracket.